$P$-strict promotion and $B$-bounded rowmotion, with applications to tableaux of many flavors
$P$-strict promotion and $B$-bounded rowmotion, with applications to tableaux of many flavors
We define \(P\)-strict labelings for a finite poset \(P\) as a generalization of semistandard Young tableaux and show that promotion on these objects is in equivariant bijection with a toggle action on \(B\)-bounded \(Q\)-partitions of an associated poset \(Q\). In many nice cases, this toggle action is conjugate to rowmotion. …